The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the sym
本文档由 飞亚 分享于2011-01-01 02:34
We compute the number of rhombus tilings of a hexagon with side lengths nN,M,N,N,M,N, with N and M having the same parity, which contain a particular nrhombus next to the center of the hexagon. The special case N=M of one of our nresults solves a problem posed by Propp. In the proofs, Hankel determinants nfeaturing Bernoulli numbers play an important role.
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